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Finding the Fourth Proportional to 10,344.26, 14,273.78 and 6,094.32

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Solution

The fourth proportional to 10,344.26, 14,273.78 and 6,094.32 is: 8,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.26 : 14,273.78 = 6,094.32 : x
  2. Step 2: Convert to fraction form
    10,344.26/14,273.78 = 6,094.32/x
  3. Step 3: Cross multiply
    10,344.26x = 14,273.78 × 6,094.32
  4. Step 4: Simplify right side
    10,344.26x = 86,988,982.93
  5. Step 5: Solve for x
    x = 86,988,982.93/10,344.26
  6. Step 6: Final answer
    x = 8,409.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.